What is the answer to log_{10}((10x)/3)=2 ?

The answer to log_{10}((10x)/3)=2 is x=30

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log_{10}((10x)/3)=2

lo g_{10} (\frac{10 x}{3}) = 2

x = 30

Solution steps

lo g_{10} (\frac{10 x}{3}) = 2

Apply log rules

\frac{10 x}{3} = 1 0^{2}

Multiply both sides by

3

\frac{10 x}{3} \cdot 3 = 1 0^{2} \cdot 3

Simplify

10 x = 300

Solve

10 x = 300 : x = 30

x = 30

Verify Solutions:

x = 30

True

The solution is

x = 30

ln (5 x) = 2

ln (3 x - 17) = 5

ln (x - 6) + 2 ln (x) - ln (x - 30) = 0

lo g_{4} (5 x) = 2

lo g_{10} (x^{2} - 9 x) = 1

What is the answer to log_{10}((10x)/3)=2 ?
The answer to log_{10}((10x)/3)=2 is x=30
Solve for x: log_{10}((10x)/3)=2
The solution is x=30